If m∠DEF = 117°, find the value of x

Every confidence interval correlates with a specific z value. As the confidence interval expands, so does the corresponding z value.
You can compute the confidence interval using the formula:

Here represents the mean, z is the respective z value, s denotes the standard deviation, and n indicates the sample size.
Standard deviation is simply the square root of variance:

For a confidence interval of 95%, the z value is <span>1.960.
</span>Now, we can compute the confidence interval for our income:

The similarity statements that illustrate the relationship between the two triangles include Triangle S R P being similar to triangle X Z Y, Triangle R S P corresponding to triangle Z X Y, and Triangle R P S matching triangle Z Y X.

Imagine a right triangle where vertex B is at the base of the hill, vertex S is at the top of the statue, and vertex Y represents your position. This triangle has a right angle at B, and angle Y measures 13.2°. Let h denote the height of the statue, making the lengths of sides YB and BS equal to 77 ft and 16+h ft, respectively.

With the lengths of two sides and one angle known, the height h can be determined using the tangent function:

ft.

Result: the height of the statue calculates to be 2.0565 ft.